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Finding the Fourth Proportional to 171,825.20, 257,802.60 and 83,157.20

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Solution

The fourth proportional to 171,825.20, 257,802.60 and 83,157.20 is: 124,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,825.20 : 257,802.60 = 83,157.20 : x
  2. Step 2: Convert to fraction form
    171,825.20/257,802.60 = 83,157.20/x
  3. Step 3: Cross multiply
    171,825.20x = 257,802.60 × 83,157.20
  4. Step 4: Simplify right side
    171,825.20x = 21,438,142,368.72
  5. Step 5: Solve for x
    x = 21,438,142,368.72/171,825.20
  6. Step 6: Final answer
    x = 124,767.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.